126241081920 has 168 divisors, whose sum is σ = 434374731960. Its totient is φ = 33652039680.

The previous prime is 126241081919. The next prime is 126241081933. The reversal of 126241081920 is 29180142621.

126241081920 is a `hidden beast` number, since 1 + 2 + 624 + 1 + 0 + 8 + 1 + 9 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18005345856 + 108235736064 = 134184^2 + 328992^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10157310 + ... + 10169730.

Almost surely, 2^126241081920 is an apocalyptic number.

126241081920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126241081920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217187365980).

126241081920 is an abundant number, since it is smaller than the sum of its proper divisors (308133650040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

126241081920 is a wasteful number, since it uses less digits than its factorization.

126241081920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15973 (or 15960 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 126241081920 in words is "one hundred twenty-six billion, two hundred forty-one million, eighty-one thousand, nine hundred twenty".